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Finding the Fourth Proportional to 3,911.52, 5,867.28 and 1,316.28

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Solution

The fourth proportional to 3,911.52, 5,867.28 and 1,316.28 is: 1,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.52 : 5,867.28 = 1,316.28 : x
  2. Step 2: Convert to fraction form
    3,911.52/5,867.28 = 1,316.28/x
  3. Step 3: Cross multiply
    3,911.52x = 5,867.28 × 1,316.28
  4. Step 4: Simplify right side
    3,911.52x = 7,722,976.74
  5. Step 5: Solve for x
    x = 7,722,976.74/3,911.52
  6. Step 6: Final answer
    x = 1,974.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.